Jones-Drew (97 yards and 27 carries) scored on a 21-yard run to put the Jaguars (1-0) ahead 7-0 and Jacksonville never surrendered the lead.
The Titans (0-1) got a 21-for-34 performance from Matt Hasselbeck in his first game as Tennessee's quarterback. He tossed for 263 yards and two scores, but was intercepted in the final minute to end a comeback try.
Kenny Britt made five grabs for 136 yards and two touchdowns as Mike Munchak absorbed a loss in his first game at the Titans' new head coach.
2014: NFL Cheerleaders [PHOTOS]
Michael Sam cut from the Dallas Cowboys